Doubly Stochastic Coherence via Noise-Induced Symmetry in Bistable Neural Models

A. Zaikin, J. García-Ojalvo, R. Báscones, E. Ullner, and J. Kurths
Phys. Rev. Lett. 90, 030601 – Published 23 January 2003

Abstract

The generation of coherent dynamics due to noise in an activator-inhibitor system describing bistable neural dynamics is investigated. We show that coherence can be induced in deterministically asymmetric regimes via symmetry restoration by multiplicative noise, together with the action of additive noise which induces jumps between the two stable steady states. The phenomenon is thus doubly stochastic, because both noise sources are necessary. This effect can be understood analytically in the frame of a small-noise expansion and is confirmed experimentally in a nonlinear electronic circuit. Finally, we show that spatial coupling enhances this coherent behavior in a form of system-size coherence resonance.

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  • Received 13 July 2002

DOI:https://doi.org/10.1103/PhysRevLett.90.030601

©2003 American Physical Society

Authors & Affiliations

A. Zaikin1, J. García-Ojalvo2, R. Báscones2, E. Ullner1, and J. Kurths1

  • 1Institut für Physik, Potsdam Universität, Am Neuen Palais 10, D-14469 Potsdam, Germany
  • 2Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Colom 11, E-08222 Terrassa, Spain

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Vol. 90, Iss. 3 — 24 January 2003

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